Problems

Problems

Problems

Problems

Problems

Problems

Problem :
Why do the following pairs of functions always have the same sign: sine
and cosecant, cosine and secant, tangent and cotangent?

These function pairs are reciprocals.

Problem :
In which quadrant do the most trigonometric
functions have negative signs?

In quadrants II, III, and IV, four out of the six trigonometric functions have
negative signs. In quadrant I none of the trigonometric functions have negative
signs. Quadrants II, III, and IV are tied for having the most trigonometric
function with negative signs.

Problem :
Which value in the following group is not equal to the others:
sin()
,
cos(Π)
,
cot()
,
sec(0)
?

sec(0) = 1
. The rest are equal to -1.

Problem :
Which value in the following group has a different sign from the others:
sin()
,
sec()
,
cot()
,
cos()
?

sec()
is the only negative value in the group.

Problem :
When
θ = Π
, which two trigonometric functions are undefined?